368384016 has 480 divisors, whose sum is σ = 1396410624. Its totient is φ = 81100800.

The previous prime is 368384011. The next prime is 368384017. The reversal of 368384016 is 610483863.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (368384011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8984956 + ... + 8984996.

Almost surely, 2^368384016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368384016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698205312).

368384016 is an abundant number, since it is smaller than the sum of its proper divisors (1028026608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

368384016 is a wasteful number, since it uses less digits than its factorization.

368384016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 368384016 is about 19193.3325923353. The cubic root of 368384016 is about 716.8587534383.

The spelling of 368384016 in words is "three hundred sixty-eight million, three hundred eighty-four thousand, sixteen".